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Finding the Fourth Proportional to 224,936.64, 310,401.84 and 122,967.36

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Solution

The fourth proportional to 224,936.64, 310,401.84 and 122,967.36 is: 169,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,936.64 : 310,401.84 = 122,967.36 : x
  2. Step 2: Convert to fraction form
    224,936.64/310,401.84 = 122,967.36/x
  3. Step 3: Cross multiply
    224,936.64x = 310,401.84 × 122,967.36
  4. Step 4: Simplify right side
    224,936.64x = 38,169,294,803.94
  5. Step 5: Solve for x
    x = 38,169,294,803.94/224,936.64
  6. Step 6: Final answer
    x = 169,689.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.